摘要
本文讨论了二阶椭圆型方程-Δu=f(x,u),x∈Ω的Dirichlet问题u|Ω=0的很弱解u∈W01,r(Ω)(1<r<2)关于区域Ω的连续性及很弱边值问题的很弱解的唯一性.
The authors prove the continuity of very weak solutions u with respect of domain Ω for a class of two order elliptic equation -Δu = f(x,u), x ∈Ω as wen as the uniqueness of very weak solution of the equation with very weak boundary values.
出处
《数学年刊(A辑)》
CSCD
北大核心
2001年第6期783-790,共8页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.19531060)
国家教委博士学科点专项科研基金资助的项目.